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• Computation-states

Compustate-top-frame-scopes-number

Number of scopes in the top frame of a computation state with a non-empty call stack.

Signature

(compustate-top-frame-scopes-number compst) → n

Arguments

compst — Guard (compustatep compst).

Returns

n — Type (posp n), given (> (compustate-frames-number compst) 0).

We use this as an enabled abbreviation.

Definitions and Theorems

Function: compustate-top-frame-scopes-number

(defun compustate-top-frame-scopes-number (compst)
  (declare (xargs :guard (compustatep compst)))
  (declare (xargs :guard (> (compustate-frames-number compst)
                            0)))
  (let ((__function__ 'compustate-top-frame-scopes-number))
    (declare (ignorable __function__))
    (car (compustate-scopes-numbers compst))))

Theorem: posp-of-compustate-top-frame-scopes-number

(defthm posp-of-compustate-top-frame-scopes-number
  (implies (> (compustate-frames-number compst) 0)
           (b* ((n (compustate-top-frame-scopes-number compst)))
             (posp n)))
  :rule-classes :type-prescription)

Theorem: compustate-top-frame-scopes-number-of-compustate-fix-compst

(defthm compustate-top-frame-scopes-number-of-compustate-fix-compst
 (equal (compustate-top-frame-scopes-number (compustate-fix compst))
        (compustate-top-frame-scopes-number compst)))

Theorem: compustate-top-frame-scopes-number-compustate-equiv-congruence-on-compst

(defthm
 compustate-top-frame-scopes-number-compustate-equiv-congruence-on-compst
 (implies (compustate-equiv compst compst-equiv)
          (equal (compustate-top-frame-scopes-number compst)
                 (compustate-top-frame-scopes-number compst-equiv)))
 :rule-classes :congruence)